2^2x=5^x−1
Take the log pf both sides:
ln(2^2x) = ln(5^x-1)
Expand the logs by pulling the exponents out:
2xln(2) = (x-1)ln(5)
Simpligy the right side:
2xln(2) = ln(5)x - ln(5)
Now solve for x:
Subtract ln(5)x from both sides:
2xln(2) - ln(5)x = -ln(5)
Factor x out of 2xln(2)-ln(5)x
x(2ln(2) - ln(5)) = -ln(5)
Divide both sides by (2ln(2) - ln(5))
X = - ln(5) / (2ln(2) - ln(5))
Answer:

Step-by-step explanation:

First, multiply both sides by -4. You must also change the inequality sign since you are multiplying both sides by a negative number.


Subtract 1 from both sides.


We are given the following function and want to find the y-intercept:

Just substitute the value x=0 into the equation to find the value of the y-intercept:

Simplify

Simplify again

Since the value of f(x), or y, when x=0 is 66, the y-intercept of this function is 66.
Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
√97 units
Step-by-step explanation:
the distance between the two points in (-5,0) and (-9,9) is √97 units.
0.3 or 30% is the same as 3/10